English

Matrix elements of vertex operators and fermionic limit of spin Calogero-Sutherland system

Mathematical Physics 2020-07-22 v1 math.MP

Abstract

We present a construction of an integrable model as a projective type limit of spin Calogero-Sutherland model with NN fermionic particles, where NN tends to infinity. It is implemented in the multicomponent fermionic Fock space. Explicit formulas for limits of Dunkl operators and the Yangian generators are presented by means of fermionic fields.

Keywords

Cite

@article{arxiv.1910.08966,
  title  = {Matrix elements of vertex operators and fermionic limit of spin Calogero-Sutherland system},
  author = {S. M. Khoroshkin and M. G. Matushko},
  journal= {arXiv preprint arXiv:1910.08966},
  year   = {2020}
}